Add to ORKGWe prove the conjecture that an interval exchange transformation on 3-intervals with corresponding permutation (1; 2; 3) ! (3; 2; 1); and rationally independent discontinuity points, is never measure theoretically isomorphic to an irrational rotation
International audienceA sharp bound on the number of invariant components of an interval exchange tr...
International audienceLet $θ$ be an irrational real number. The map $T_θ : y \mapsto (y + θ) \mod 1$...
In this paper, we study the periods of interval exchange transformations. First, we characterize the...
Abstract. We prove the conjecture that an interval exchange transforma-tion on 3-intervals with corr...
We study the ergodic properties of compositions of interval exchange transformations (IETs) and rota...
Abstract. We study the ergodic properties of compositions of interval exchange transforma-tions and ...
AbstractWe propose a method for obtaining the symbolic orbits of interval exchange transformations o...
We define a diophantine condition for interval exchange transformations (i.e.t.). When the number of...
In this Thesis we investigate interval translation maps (ITMs) with, on the circle, two intervals, a...
Abstract. We describe completely a new induction process on three-interval exchange transformations,...
We define a Diophantine condition for interval-exchange transformations. When the number of interval...
International audienceWe give conditions for minimality of Z/N Z extensions of a rotation of angle α...
We prove that a typical interval exchange transformation is either weakly mixing or it is an irratio...
AbstractWe apply the Ferenczi–Mauduit combinatorial condition obtained via a reformulation of Ridout...
In this Thesis we investigate interval translation maps (ITMs) with, on the circle, two intervals, a...
International audienceA sharp bound on the number of invariant components of an interval exchange tr...
International audienceLet $θ$ be an irrational real number. The map $T_θ : y \mapsto (y + θ) \mod 1$...
In this paper, we study the periods of interval exchange transformations. First, we characterize the...
Abstract. We prove the conjecture that an interval exchange transforma-tion on 3-intervals with corr...
We study the ergodic properties of compositions of interval exchange transformations (IETs) and rota...
Abstract. We study the ergodic properties of compositions of interval exchange transforma-tions and ...
AbstractWe propose a method for obtaining the symbolic orbits of interval exchange transformations o...
We define a diophantine condition for interval exchange transformations (i.e.t.). When the number of...
In this Thesis we investigate interval translation maps (ITMs) with, on the circle, two intervals, a...
Abstract. We describe completely a new induction process on three-interval exchange transformations,...
We define a Diophantine condition for interval-exchange transformations. When the number of interval...
International audienceWe give conditions for minimality of Z/N Z extensions of a rotation of angle α...
We prove that a typical interval exchange transformation is either weakly mixing or it is an irratio...
AbstractWe apply the Ferenczi–Mauduit combinatorial condition obtained via a reformulation of Ridout...
In this Thesis we investigate interval translation maps (ITMs) with, on the circle, two intervals, a...
International audienceA sharp bound on the number of invariant components of an interval exchange tr...
International audienceLet $θ$ be an irrational real number. The map $T_θ : y \mapsto (y + θ) \mod 1$...
In this paper, we study the periods of interval exchange transformations. First, we characterize the...